Martin (finger) threw two simulated innings in a 35-pitch bullpen session Saturday, Bruce Levine of 670TheScore.com reports.
Baez isn't in the Tigers' starting lineup for Saturday's matchup versus Kansas City.
Grichuk went 2-for-3 with a solo home run Friday against the Mets.
Taylor (5-2) walked one and struck out two over a scoreless ninth inning to earn the win in Friday's 6-4 victory over the Mets.
Montgomery went 1-for-3 with a solo home run and a walk Friday against the Mets.
Vargas went 2-for-3 with a two-run home run, a double and a walk Friday against the Mets.
Burke didn't factor into the decision Friday against the Mets after allowing four runs on seven hits while striking out four over six innings.
McGonigle went 2-for-4 with a walk and an RBI in Friday's 5-2 loss to the Royals.
Melton (7-2) allowed three runs (two earned) on six hits across 5.2 innings to take the loss in Friday's 5-2 defeat to the Royals. He walked three and struck out three.
Montero will not make his next scheduled start during the Tigers' upcoming series against the Rays, Chris McCosky of The Detroit News reports.
